Value of `(1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo` is equal to a.`3` b. `6/5` c. `3/2` d. none of these

The value of 1- 1/2(3/4) + 1/3(3/4)^(2) -1/4(3/4)^(3) + ... is:

The value of 1-1/2(2/3)+1/3(2/3)^(2)-1/4(2/3)^(3)+... is

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

int_0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u a lto 3/8 (b) 1/8 (c) -3/8 (d) none of these

x = 1 + (1)/(3+(1)/(2+(1)/(3+1/(2...oo)))) then the value of x is

The value of cos(1/2cos^(-1)(1/8)) is (a) 3/4 (b) -3/4 (c) 1/(16) (d) 1/4

The value of ("lim")_(xto2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

If f(1)=3,f^(prime)(1)=2,f''(1)=4,t h e n f^(-1)(3)= a. 1 b. -1/2 c. -2 d. none of these

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo